Question 1

Perform the indicated operation. Express your answer in simplest form.
-$$3 \frac { 1 } { 9 } - 2 \frac { 1 } { 6 }$$

Accepted Answer

A)  $\frac { 17 } { 18 }$ 
B)  $\frac { 5 } { 18 }$ 
C)  $1 \frac { 1 } { 17 }$ 
D)  $5 \frac { 2 } { 3 }$ 
A)  $\frac { 17 } { 18 }$ 
B)  $\frac { 5 } { 18 }$ 
C)  $1 \frac { 1 } { 17 }$ 
D)  $5 \frac { 2 } { 3 }$

Question 2

$\text { Change the following mixed number to a fraction in the form } \frac { a } { b } \text {, where } a \text { and } b \text { are integers and } b \neq 0 \text {. }$
-$5 \frac { 4 } { 7 }$

Accepted Answer

A)  $\frac { 39 } { 4 }$ 
B)  $\frac { 39 } { 7 }$ 
C)  $\frac { 35 } { 4 }$ 
D)  $\frac { 35 } { 7 }$ 
A)  $\frac { 39 } { 4 }$ 
B)  $\frac { 39 } { 7 }$ 
C)  $\frac { 35 } { 4 }$ 
D)  $\frac { 35 } { 7 }$

Question 3

Provide the proper response. Show all fractions in simplest form.
-Write a fraction to represent the shaded portion of the figure.

Accepted Answer

A)  $\frac { 5 } { 2 }$ 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { 2 } { 5 }$ 
D)  $\frac { 3 } { 2 }$ 
A)  $\frac { 5 } { 2 }$ 
B)  $\frac { 2 } { 3 }$ 
C)  $\frac { 2 } { 5 }$ 
D)  $\frac { 3 } { 2 }$

Question 4

Change the following fraction to a mixed number.
-$\frac { 37 } { 3 }$

Accepted Answer

A)  $12 \frac { 1 } { 3 }$ 
B)  $13 \frac { 1 } { 3 }$ 
C)  $11 \frac { 1 } { 7 }$ 
D)  $\frac { 1 } { 3 }$ 
A)  $12 \frac { 1 } { 3 }$ 
B)  $13 \frac { 1 } { 3 }$ 
C)  $11 \frac { 1 } { 7 }$ 
D)  $\frac { 1 } { 3 }$

Question 5

Choose the rational number that is between the given fractions.
-$\frac { 1 } { 7 }$ and $\frac { 1 } { 8 }$

Accepted Answer

A)  $\frac { 2 } { 15 }$ 
B)  $\frac { 3 } { 28 }$ 
C)  $\frac { 9 } { 56 }$ 
D)  $\frac { 11 } { 56 }$ 
A)  $\frac { 2 } { 15 }$ 
B)  $\frac { 3 } { 28 }$ 
C)  $\frac { 9 } { 56 }$ 
D)  $\frac { 11 } { 56 }$

Question 6

Perform the indicated operation. Express your answer in simplest form.
-$$\frac { 9 } { 13 } + \frac { 1 } { 7 }$$

Accepted Answer

A)  $\frac { 76 } { 91 }$ 
B)  $\frac { 19 } { 5 }$ 
C)  $\frac { 10 } { 91 }$ 
D)  $\frac { 1 } { 2 }$ 
A)  $\frac { 76 } { 91 }$ 
B)  $\frac { 19 } { 5 }$ 
C)  $\frac { 10 } { 91 }$ 
D)  $\frac { 1 } { 2 }$

Question 7

Choose the best estimate from the list.
-$\frac { 5111 } { 2068 }$ is approximately $1 \frac { 1 } { 2 } , 2 \frac { 1 } { 2 } , 2,3$.

Accepted Answer

A)  3 
B)  $1 \frac { 1 } { 2 }$ 
C)  $2 \frac { 1 } { 2 }$ 
D)  2 
A)  3 
B)  $1 \frac { 1 } { 2 }$ 
C)  $2 \frac { 1 } { 2 }$ 
D)  2

Question 8

Provide the proper response. Show all fractions in simplest form.
-Write a fraction to represent the shaded portion of the figure.

Accepted Answer

A) $\frac { 3 } { 8 }$ 
B)  $\frac { 5 } { 3 }$ 
C)  $\frac { 5 } { 8 }$ 
D) $\frac { 3 } { 5 }$ 
A) $\frac { 3 } { 8 }$ 
B)  $\frac { 5 } { 3 }$ 
C)  $\frac { 5 } { 8 }$ 
D) $\frac { 3 } { 5 }$

Question 9

Perform the indicated operation. Express your answer in simplest form.
-$$\frac { 5 } { 9 } - \frac { 1 } { 10 }$$

Accepted Answer

A)  $\frac { 82 } { 9 }$ 
B)  $\frac { 41 } { 90 }$ 
C)  $\frac { 1 } { 60 }$ 
D)  $\frac { 90 } { 41 }$ 
A)  $\frac { 82 } { 9 }$ 
B)  $\frac { 41 } { 90 }$ 
C)  $\frac { 1 } { 60 }$ 
D)  $\frac { 90 } { 41 }$

Question 10

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent".
-$\frac { 1 } { 4 } , \frac { 3 } { 16 }$

Accepted Answer

A)  $\frac { 1 } { 4 } , \frac { 3 } { 16 }$ 
B)  $\frac { 3 } { 16 } , \frac { 1 } { 4 }$ 
C)  Equivalent 
A)  $\frac { 1 } { 4 } , \frac { 3 } { 16 }$ 
B)  $\frac { 3 } { 16 } , \frac { 1 } { 4 }$ 
C)  Equivalent

Question 11

Determine whether the fractions are equal.
-$\frac { 768 } { - 352 }$ and $\frac { - 1008 } { 462 }$

Accepted Answer

A)  Yes 
B)  $\mathrm { No }$ 
A)  Yes 
B)  $\mathrm { No }$

Question 12

Change the following fraction to a mixed number.
-$- \frac { 18 } { 5 }$

Accepted Answer

A)  $-4 \frac { 3 } { 5 }$ 
B)  $- 3 \frac { 3 } { 5 }$ 
C)  $-3 \frac { 3 } { 7 }$ 
D)  $- 2 \frac { 3 } { 5 }$ 
A)  $-4 \frac { 3 } { 5 }$ 
B)  $- 3 \frac { 3 } { 5 }$ 
C)  $-3 \frac { 3 } { 7 }$ 
D)  $- 2 \frac { 3 } { 5 }$

Question 13

Determine whether the fractions are equal.
-$\frac { 192 } { 312 }$ and $\frac { 152 } { 247 }$

Accepted Answer

A)  Yes 
B)  $\mathrm { No }$ 
A)  Yes 
B)  $\mathrm { No }$

Question 14

Perform the indicated operation. Express your answer in simplest form.
-$\frac { - 2 } { 45 } - \frac { 3 } { 40 }$

Accepted Answer

A)  $\frac { - 43 } { 360 }$ 
B)  $\frac { - 1 } { 1800 }$ 
C)  $\frac { - 360 } { 43 }$ 
D)  $\frac { 43 } { 9 }$ 
A)  $\frac { - 43 } { 360 }$ 
B)  $\frac { - 1 } { 1800 }$ 
C)  $\frac { - 360 } { 43 }$ 
D)  $\frac { 43 } { 9 }$

Question 15

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent".
-$$\frac { 11 } { 32 } , \frac { 2 } { 5 } , \frac { 13 } { 34 }$$

Accepted Answer

A)  $\frac { 13 } { 34 } , \frac { 2 } { 5 } , \frac { 11 } { 32 }$ 
B)  $\frac { 2 } { 5 } , \frac { 11 } { 32 } , \frac { 13 } { 34 }$ 
C)  $\frac { 11 } { 32 } , \frac { 13 } { 34 } , \frac { 2 } { 5 }$ 
A)  $\frac { 13 } { 34 } , \frac { 2 } { 5 } , \frac { 11 } { 32 }$ 
B)  $\frac { 2 } { 5 } , \frac { 11 } { 32 } , \frac { 13 } { 34 }$ 
C)  $\frac { 11 } { 32 } , \frac { 13 } { 34 } , \frac { 2 } { 5 }$

Question 16

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent".
-$\frac { 5 } { 36 } , \frac { 10 } { 12 }$

Accepted Answer

A)  Equivalent 
B)  $\frac { 10 } { 12 } , \frac { 5 } { 36 }$ 
C)  $\frac { 5 } { 36 } , \frac { 10 } { 12 }$ 
A)  Equivalent 
B)  $\frac { 10 } { 12 } , \frac { 5 } { 36 }$ 
C)  $\frac { 5 } { 36 } , \frac { 10 } { 12 }$

Question 17

Find the requested fraction.
-Which fraction is equal to $\frac { 6 } { 8 }$ ?

Accepted Answer

A)  $\frac { 3 } { 4 }$ 
B)  $\frac { 8 } { 10 }$ 
C)  $\frac { 3 } { 5 }$ 
D)  $\frac { 9 } { 16 }$ 
A)  $\frac { 3 } { 4 }$ 
B)  $\frac { 8 } { 10 }$ 
C)  $\frac { 3 } { 5 }$ 
D)  $\frac { 9 } { 16 }$

Question 18

Choose the best estimate from the list.
-$3 \frac { 11 } { 32 } + 10 \frac { 21 } { 62 }$ is approximately $13,13 \frac { 1 } { 3 } , 13 \frac { 2 } { 3 } , 14$.

Accepted Answer

A)  14 
B)  $13 \frac { 2 } { 3 }$ 
C)  $13 \frac { 1 } { 3 }$ 
D)  13 
A)  14 
B)  $13 \frac { 2 } { 3 }$ 
C)  $13 \frac { 1 } { 3 }$ 
D)  13

Question 19

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent".
-$\frac { 3 } { 8 } , \frac { 1 } { 2 }$

Accepted Answer

A)  Equivalent 
B)  $\frac { 3 } { 8 } , \frac { 1 } { 2 }$ 
C)  $\frac { 1 } { 2 } , \frac { 3 } { 8 }$ 
A)  Equivalent 
B)  $\frac { 3 } { 8 } , \frac { 1 } { 2 }$ 
C)  $\frac { 1 } { 2 } , \frac { 3 } { 8 }$

Question 20

Provide the proper response. Show all fractions in simplest form.
-Write a fraction to represent the shaded portion of the figure.

Accepted Answer

A)  $\frac { 5 } { 6 }$ 
B)  $\frac { 6 } { 5 }$ 
C)  $\frac { 1 } { 6 }$ 
D)  $\frac { 1 } { 5 }$ 
A)  $\frac { 5 } { 6 }$ 
B)  $\frac { 6 } { 5 }$ 
C)  $\frac { 1 } { 6 }$ 
D)  $\frac { 1 } { 5 }$

Perform the indicated operation. Express your answer in simplest form. - $3 \frac { 1 } { 9 } - 2 \frac { 1 } { 6 }$

$\text { Change the following mixed number to a fraction in the form } \frac { a } { b } \text {, where } a \text { and } b \text { are integers and } b \neq 0 \text {. }$ - $5 \frac { 4 } { 7 }$

Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure. $Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure.$

Change the following fraction to a mixed number. - $\frac { 37 } { 3 }$

Choose the rational number that is between the given fractions. - $\frac { 1 } { 7 }$ and $\frac { 1 } { 8 }$

Perform the indicated operation. Express your answer in simplest form. - $\frac { 9 } { 13 } + \frac { 1 } { 7 }$

Choose the best estimate from the list. - $\frac { 5111 } { 2068 }$ is approximately $1 \frac { 1 } { 2 } , 2 \frac { 1 } { 2 } , 2,3$ .

Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure. $Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure.$

Perform the indicated operation. Express your answer in simplest form. - $\frac { 5 } { 9 } - \frac { 1 } { 10 }$

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". - $\frac { 1 } { 4 } , \frac { 3 } { 16 }$

Determine whether the fractions are equal. - $\frac { 768 } { - 352 }$ and $\frac { - 1008 } { 462 }$

Change the following fraction to a mixed number. - $- \frac { 18 } { 5 }$

Determine whether the fractions are equal. - $\frac { 192 } { 312 }$ and $\frac { 152 } { 247 }$

Perform the indicated operation. Express your answer in simplest form. - $\frac { - 2 } { 45 } - \frac { 3 } { 40 }$

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". - $\frac { 11 } { 32 } , \frac { 2 } { 5 } , \frac { 13 } { 34 }$

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". - $\frac { 5 } { 36 } , \frac { 10 } { 12 }$

Find the requested fraction. -Which fraction is equal to $\frac { 6 } { 8 }$ ?

Choose the best estimate from the list. - $3 \frac { 11 } { 32 } + 10 \frac { 21 } { 62 }$ is approximately $13,13 \frac { 1 } { 3 } , 13 \frac { 2 } { 3 } , 14$ .

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". - $\frac { 3 } { 8 } , \frac { 1 } { 2 }$

Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure. $Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure.$

An Introduction to Problem Solving

Introduction to Logic and Sets

Numeration Systems and Whole Number Operations

Number Theory

Integers

Rational Numbers As Decimals and Percents

Real Numbers and Algebraic Thinking

Probability

Data Analysisstatistics: an Introduction

Introductory Geometry

Congruence and Similarity With Constructions

Congruence and Similarity With Transformations

Area, Pythagorean Theorem, and Volume

Filters

Exam 6: Rational Numbers and Proportional Reasoning

Perform the indicated operation. Express your answer in simplest form. - 319−2163 \frac { 1 } { 9 } - 2 \frac { 1 } { 6 }391​−261​

Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure.

Change the following fraction to a mixed number. - 373\frac { 37 } { 3 }337​

Choose the rational number that is between the given fractions. - 17\frac { 1 } { 7 }71​ and 18\frac { 1 } { 8 }81​

Perform the indicated operation. Express your answer in simplest form. - 913+17\frac { 9 } { 13 } + \frac { 1 } { 7 }139​+71​

Choose the best estimate from the list. - 51112068\frac { 5111 } { 2068 }20685111​ is approximately 112,212,2,31 \frac { 1 } { 2 } , 2 \frac { 1 } { 2 } , 2,3121​,221​,2,3 .

Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure.

Perform the indicated operation. Express your answer in simplest form. - 59−110\frac { 5 } { 9 } - \frac { 1 } { 10 }95​−101​

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". - 14,316\frac { 1 } { 4 } , \frac { 3 } { 16 }41​,163​

Determine whether the fractions are equal. - 768−352\frac { 768 } { - 352 }−352768​ and −1008462\frac { - 1008 } { 462 }462−1008​

Change the following fraction to a mixed number. - −185- \frac { 18 } { 5 }−518​

Determine whether the fractions are equal. - 192312\frac { 192 } { 312 }312192​ and 152247\frac { 152 } { 247 }247152​

Perform the indicated operation. Express your answer in simplest form. - −245−340\frac { - 2 } { 45 } - \frac { 3 } { 40 }45−2​−403​

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". - 1132,25,1334\frac { 11 } { 32 } , \frac { 2 } { 5 } , \frac { 13 } { 34 }3211​,52​,3413​

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". - 536,1012\frac { 5 } { 36 } , \frac { 10 } { 12 }365​,1210​

Find the requested fraction. -Which fraction is equal to 68\frac { 6 } { 8 }86​ ?

Choose the best estimate from the list. - 31132+1021623 \frac { 11 } { 32 } + 10 \frac { 21 } { 62 }33211​+106221​ is approximately 13,1313,1323,1413,13 \frac { 1 } { 3 } , 13 \frac { 2 } { 3 } , 1413,1331​,1332​,14 .

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". - 38,12\frac { 3 } { 8 } , \frac { 1 } { 2 }83​,21​

Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure.

An Introduction to Problem Solving

Introduction to Logic and Sets

Numeration Systems and Whole Number Operations

Number Theory

Integers

Rational Numbers As Decimals and Percents

Real Numbers and Algebraic Thinking

Probability

Data Analysisstatistics: an Introduction

Introductory Geometry

Congruence and Similarity With Constructions

Congruence and Similarity With Transformations

Area, Pythagorean Theorem, and Volume

Filters

Perform the indicated operation. Express your answer in simplest form. - $3 \frac { 1 } { 9 } - 2 \frac { 1 } { 6 }$

Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure. $Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure.$

Change the following fraction to a mixed number. - $\frac { 37 } { 3 }$

Choose the rational number that is between the given fractions. - $\frac { 1 } { 7 }$ and $\frac { 1 } { 8 }$

Perform the indicated operation. Express your answer in simplest form. - $\frac { 9 } { 13 } + \frac { 1 } { 7 }$

Choose the best estimate from the list. - $\frac { 5111 } { 2068 }$ is approximately $1 \frac { 1 } { 2 } , 2 \frac { 1 } { 2 } , 2,3$ .

Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure. $Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure.$

Perform the indicated operation. Express your answer in simplest form. - $\frac { 5 } { 9 } - \frac { 1 } { 10 }$

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". - $\frac { 1 } { 4 } , \frac { 3 } { 16 }$

Determine whether the fractions are equal. - $\frac { 768 } { - 352 }$ and $\frac { - 1008 } { 462 }$

Change the following fraction to a mixed number. - $- \frac { 18 } { 5 }$

Determine whether the fractions are equal. - $\frac { 192 } { 312 }$ and $\frac { 152 } { 247 }$

Perform the indicated operation. Express your answer in simplest form. - $\frac { - 2 } { 45 } - \frac { 3 } { 40 }$

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". - $\frac { 11 } { 32 } , \frac { 2 } { 5 } , \frac { 13 } { 34 }$

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". - $\frac { 5 } { 36 } , \frac { 10 } { 12 }$

Find the requested fraction. -Which fraction is equal to $\frac { 6 } { 8 }$ ?

Choose the best estimate from the list. - $3 \frac { 11 } { 32 } + 10 \frac { 21 } { 62 }$ is approximately $13,13 \frac { 1 } { 3 } , 13 \frac { 2 } { 3 } , 14$ .

Arrange the fractions in ascending order. Or, if the fractions are equivalent, answer "Equivalent". - $\frac { 3 } { 8 } , \frac { 1 } { 2 }$

Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure. $Provide the proper response. Show all fractions in simplest form. -Write a fraction to represent the shaded portion of the figure.$